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Finding the Third Proportional to 62,831 and 92,362

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Solution

The third proportional to 62,831 and 92,362 is: 135,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,831 : 92,362 = 92,362 : x
  2. Step 2: Convert to fraction form
    62,831/92,362 = 92,362/x
  3. Step 3: Cross multiply
    62,831x = 92,362 × 92,362
  4. Step 4: Simplify right side
    62,831x = 8,530,739,044
  5. Step 5: Solve for x
    x = 8,530,739,044/62,831
  6. Step 6: Final answer
    x = 135,772.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.